Speculative Determination of the Intermediate-Boson Mass

Abstract

It is shown that the algebra generated by the space integrals of the fourth components of the electromagnetic current and the weak-interaction current is that of an $\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}\otimes \mathrm{U}\mathrm{}\left(1\right)\mathrm{}$ group. Let $\overrightarrow{\mathrm{K}}$ be the generator of this SU(2) group. By requiring the $\left|\Delta \overrightarrow{\mathrm{K}}\right|=1\mathrm{}$ part of these current operators, including their respective coupling constants, to form a $\overrightarrow{\mathrm{K}}=1\mathrm{}$ triplet, one finds that the semiweak coupling constant $g$ is related to the fine-structure constant $\alpha$ by ${\left(4\mathrm{}\pi \right)}^{-1\mathrm{}}{g}^2=\frac{1}{8}\alpha$; therefore, in the absence of radiative corrections, the mass of the (hypothetical) spin-1, charged intermediate boson is 37.29 GeV.